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Finding the Fourth Proportional to 76,336.56, 114,398.10 and 65,033.01

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Solution

The fourth proportional to 76,336.56, 114,398.10 and 65,033.01 is: 97,458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,336.56 : 114,398.10 = 65,033.01 : x
  2. Step 2: Convert to fraction form
    76,336.56/114,398.10 = 65,033.01/x
  3. Step 3: Cross multiply
    76,336.56x = 114,398.10 × 65,033.01
  4. Step 4: Simplify right side
    76,336.56x = 7,439,652,781.28
  5. Step 5: Solve for x
    x = 7,439,652,781.28/76,336.56
  6. Step 6: Final answer
    x = 97,458.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.